Some Sums

Find the sum of the integers between 1 and N (inclusive), whose sum of digits written in base 10 is between A and B (inclusive).

Constraints

• 1 \leq N \leq 10^4
• 1 \leq A \leq B \leq 36
• All input values are integers.

Input

Input is given from Standard Input in the following format:

N A B

Output

Print the sum of the integers between 1 and N (inclusive), whose sum of digits written in base 10 is between A and B (inclusive).

Examples

Input

20 2 5

Output

84

Input

10 1 2

Output

13

Input

100 4 16

Output

4554

inputFormat

input values are integers.

Input

Input is given from Standard Input in the following format:

N A B

outputFormat

Output

Print the sum of the integers between 1 and N (inclusive), whose sum of digits written in base 10 is between A and B (inclusive).

Examples

Input

20 2 5

Output

84

Input

10 1 2

Output

13

Input

100 4 16

Output

4554

样例

10 1 2

13